2.687   ODE No. 687

1. Problem in Latex
2. Mathematica input
3. Maple input

$$y^{\prime }(x)=\frac{x^3(-\log \left(\frac{x+1}{x-1}\right))+y(x)+xy(x{)}^2\log \left(\frac{x+1}{x-1}\right)}{x}$$ ✓ Mathematica : cpu = 0.057599 (sec), leaf count = 130

$$\left\{\{y(x)\to \frac{-x^2(x+1{)}^{x^2}{e}^{2c_1+2x}+x(x+1{)}^{x^2}{e}^{2c_1+2x}-x^2(x-1{)}^{x^2}-x(x-1{)}^{x^2}}{-(x+1{)}^{x^2}{e}^{2c_1+2x}+x(x+1{)}^{x^2}{e}^{2c_1+2x}-x(x-1{)}^{x^2}-(x-1{)}^{x^2}}\}\right\}$$

✓ Maple : cpu = 0.072 (sec), leaf count = 39

$$\{y\left(x\right)=-\tanh (\frac{x^2}{2}\ln \left(\frac{1+x}{x-1}\right)-\frac{1}{2}\ln \left(\frac{1+x}{x-1}\right)+\mathit{\_}\mathit{C}\mathit{1}+x-1)x\}$$